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51316071040 = 2751314834159
BaseRepresentation
bin101111110010101011…
…010001101010000000
311220110022020111200201
4233302223101222000
51320043403233130
635324013254544
73464442256363
oct576253215200
9156408214621
1051316071040
111a843647773
129b41794454
134aba6139a0
1426ab4360da
1515051abbca
hexbf2ad1a80

51316071040 has 128 divisors (see below), whose sum is σ = 132235084800. Its totient is φ = 18930143232.

The previous prime is 51316071031. The next prime is 51316071041. The reversal of 51316071040 is 4017061315.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (51316071041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12336481 + ... + 12340639.

It is an arithmetic number, because the mean of its divisors is an integer number (1033086600).

Almost surely, 251316071040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51316071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66117542400).

51316071040 is an abundant number, since it is smaller than the sum of its proper divisors (80919013760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51316071040 is a wasteful number, since it uses less digits than its factorization.

51316071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 51316071040 in words is "fifty-one billion, three hundred sixteen million, seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1483 1664 2080 2966 4159 4160 5932 7415 8318 8320 11864 14830 16636 19279 20795 23728 29660 33272 38558 41590 47456 54067 59320 66544 77116 83180 94912 96395 108134 118640 133088 154232 166360 189824 192790 216268 237280 266176 270335 308464 332720 385580 432536 474560 532352 540670 616928 665440 771160 865072 949120 1081340 1233856 1330880 1542320 1730144 2162680 2467712 2661760 3084640 3460288 4325360 6167797 6169280 6920576 8650720 12335594 12338560 17301440 24671188 30838985 34602880 49342376 61677970 80181361 98684752 123355940 160362722 197369504 246711880 320725444 394739008 400906805 493423760 641450888 789478016 801813610 986847520 1282901776 1603627220 1973695040 2565803552 3207254440 3947390080 5131607104 6414508880 10263214208 12829017760 25658035520 51316071040